Essays about: "Minimal ramification"

Found 2 essays containing the words Minimal ramification.

1. 1. Ramification of polynomials

   University essay from Linnéuniversitetet/Institutionen för matematik (MA)

   Author : Ana Strikic; [2021]
   Keywords : non-pleasantly ramified polynomials; minimally ramified polynomial; lower ramification numbers; minimal ramification; discrete dynamical systems; iterating polynomials; ultrametric fields;

   Abstract : In this research,we study iterations of non-pleasantly ramified polynomials over fields of positive characteristic and subsequently, their lower ramification numbers. Of particular interest for this thesis are polynomials for which both the multiplicity and  the degree of its iterates grow exponentially. READ MORE

3. 2. Lower ramification numbers of wildly ramified power series

   University essay from Linnéuniversitetet/Institutionen för matematik (MA)

   Author : Jonas Fransson; [2014]
   Keywords : Lower ramification numbers; Minimal ramification; Ramified polynomials; Ramified power series; Difference equations; Recurrence relations; Optimal cycles; Periodic points;

   Abstract : In this thesis we study lower ramification numbers of power series tan- gent to the identity that are defined over fields of positive characteristics. Let f be such a series, then f has a fixed point at the origin and the corresponding lower ramification numbers of f are then, up to a constant, the multiplicity of zero as a fixed point of iterates of f. READ MORE